Frodo and Sam also died eventually. Just because they sailed to the Undying Lands doesn't mean they escaped The Fate of Men, which is death. Nobody in Arda's history managed to escape their race's "curse" except for Beren and Luthien who were given another life together. They most likely just got some more time.

They died peacefully after a full life, spending their last years with one of their best friends who is also one the most powerful and wealthy individuals in the(ir) world. I can hardly imagine a better way to pass away, I'm happy for them.

The Undying Lands are called that because that's where elves and Gods live, not because it grants immortality. It's funny that you say this actually because when Sauron was captured by the Numenoreans, he told them the same thing, that being in the Undying Lands gives you immortality (this is a lie). The Numenoreans then tried to invade to seize everlasting life and were all promptly destroyed by the Gods for their arrogance.

Honestly, I'm personally a much bigger fan of the Silmarillion and the Children of Húrin than the LotR books. They're both very different stories from what the Fellowship is all about, and are also much darker and more serious. And they're about elves and their great wars on evil. So that's great.

It is not an easy read, and only serious LotR fans should even attempt it. If you do, though, it's a fantastic read, covering a huge amount of lore from before the events of the more well-known books. It also helps explain the significance of some of the characters, like Elrond and Gandalf.

Keep reading Fellowship of the Ring - it takes a while to pick up. If you finish it and don't like it, then to be honest I wouldn't continue the series, since all three books are equally good (or equally uninteresting, in your case). I definitely wouldn't recommend The Silmarillion if you didn't like The Hobbit, although if you do get into the series, The Children of Hurin is good.

I actually think I´ve read a letter by tolkien where he actually stated that Sam, Frodo, Bilbo and Gimli (who later-on also arrived at the undying Lands, in a boat from the grey havens (the last one that ever set of to Valinor, I think, not sure, tho) might have lived on. Not for all eternity, but at least for longer as they would have lived in middleearth, due to the "healthy atmosphere" (sorry, I don´t know a better word right now) there...Not sure, tho, I´d have to look it up, but most of my books aren´t with me right now...

And even if they died, I like to believe that all the heroes of the ring-war will be resecurrected in the Dagor Dagorath

questions to a person who obviously knows their ****;
why does Frodo leave?
Doesn't wearing one of those crystals that the elves wear give you immortality?
I had no idea there were gods in that universe. What are they like. Do they ever go to middle earth and change things?
Why doesn't technology in that universe change at all from the time of the first war with Sauron to the time of Frodo? Isn't it a 2,000 year span where they are stuck in the medieval era?

on Frodo leaving: being a ring-bearer is not just keeping the ring in a chain around your neck, it eats away at your soul until nothing is left and you turn into a ring-wraith. Frodo isn´t as ****** as Sméagol(Gollum) but he still wore the ring for quite awhile(he "owned" it for around 20 years) and that took away his love for his own life. During the period from Sarumans death till he leaves middle-earth, he continually became more and more distant from the people around him, even Sam, to a point where he realized that whatever life he was hoping for, when he set out from The Shire, would never happen. so him leaving isn't as much of a sad thing, as you might think, Valinor (the undying lands) holds for the ring-bearers a hope and a chance to put the ring-war behind them. i think ill stop now even if there's still things to be said

gimli with the help of legolas who stayed behind after the otehr elves left and a small army actually went back to moria and got rid of the goblins in there if i remember right then made minus tirith a new gate made with mithreal then in the end he and legolas also went to the undieing lands

I sometimes wonder, if the Undying lands actually exist in the LOTR world. Like, what if it doesn't, and elves have just been sailing down a river until they all fly down a waterfall and die, and no body knows about it because their are no survivors, and nobody wants to question the existence of the undying lands. So generation after generation of elves just plummet to their watery death because everyone assumes they're going to the "Undying Land". Just a thought. Elves fw they see waterfall.

Elves have been there, Galadriel for example. They saw the light of the Two Trees and how they were destroyed ... there was a lot of stuff going on there in the first age. Also the Valar, kind of divine spirits, live there.